| MadSci Network: Physics |
Charles, I don't understand your question, so I'm going to have to guess a little bit. Also, one of the parameters in the question, 10m, seems absurdly large for a neutron beam. Perhaps that's a typo. I can't tell if the "thin cylinder" has a diameter much smaller than its length like a pencil lead, or a length much smaller than its diameter like a CD. You might be asking if the electrons will form a diffraction pattern since the neutron beam looks like a diffraction grating. If this is indeed the case, I recommend Lorentz transforming (boosting) into the rest frame of the neutrons. Calculate the rest lengths of the packets and spaces. In this new frame, the electrons will approach the neutron grating at an angle which you can figure out from the special relativistic law for adding perpendicular velocities, that is the velocity of the electrons in the y-direction and the frame boost velocity in the x-direction. Because the electron beam now makes an angle with the vector normal to face of the neutron diffraction grating, the effective grating spacing is reduced by the cosine of this angle. Once you find the diffraction pattern in the rest frame of the neutrons, you can then Lorentz transform it back into the original laboratory frame. I based my guess on your second and third hashtags, #uncertaintyprinciple and #slitexperiment. I could not see a way to incorporate your first hashtag, #gluonfields, into my answer since the electrons, being leptons, will not feel the strong interaction mediated by gluons. --Dr. Randall J. Scalise http://www.physics.smu.edu/scalise
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